Use Special Products in Polynomial Multiplication
-$$( 4 x - 5 ) ^ { 3 }$$
A) $64 x ^ { 3 } - 240 x ^ { 2 } + 300 x - 125$
B) $64 x ^ { 3 } - 240 x ^ { 2 } + 240 x - 125$
C) $64 x ^ { 3 } + 240 x ^ { 2 } + 300 x + 125$
D) $16 x ^ { 2 } - 40 x + 25$

Question

Quizplus · Accepted Answer

To find $(4x - 5)^3$, we use the binomial expansion formula $(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3$. Substituting $a = 4x$ and $b = 5$, we get $64x^3 - 3(16x^2)(5) + 3(4x)(25) - 125$, which simplifies to $64x^3 - 240x^2 + 300x - 125$.

Use Special Products in Polynomial Multiplication - (4x−5)3( 4 x - 5 ) ^ { 3 }(4x−5)3

Use Special Products in Polynomial Multiplication
- $( 4 x - 5 ) ^ { 3 }$